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Simplifying -7y + 40 = -4(y + -4) Reorder the terms: 40 + -7y = -4(y + -4) Reorder the terms: 40 + -7y = -4(-4 + y) 40 + -7y = (-4 * -4 + y * -4) 40 + -7y = (16 + -4y) Solving 40 + -7y = 16 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 40 + -7y + 4y = 16 + -4y + 4y Combine like terms: -7y + 4y = -3y 40 + -3y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 40 + -3y = 16 + 0 40 + -3y = 16 Add '-40' to each side of the equation. 40 + -40 + -3y = 16 + -40 Combine like terms: 40 + -40 = 0 0 + -3y = 16 + -40 -3y = 16 + -40 Combine like terms: 16 + -40 = -24 -3y = -24 Divide each side by '-3'. y = 8 Simplifying y = 8
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